Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify158.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	289	13
1	289	13

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.1b	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1843`
4×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `*-un-lft-identity_binary64_1858` `add-log-exp_binary64_1823`
3×	`associate-l_binary64_1918` `associate-r_binary64_1917`
2×	`associate-*r/_binary64_1919` `flip3-+_binary64_1856` `flip-+_binary64_1883`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `distribute-rgt-in_binary64_1901` `unswap-sqr_binary64_1886` `distribute-lft-in_binary64_1900` `pow-prod-down_binary64_1785`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
6.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
37.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

simplify104.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5280	455

prune121.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 x (*.f64 x 1080863910568919/9007199254740992)))
0.2b	(.f64 x (.f64 x 1080863910568919/9007199254740992))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `pow1_binary64_1804`
4×	`add-log-exp_binary64_1823`
3×	`cbrt-unprod_binary64_1827` `add-cube-cbrt_binary64_1829` `associate-l_binary64_1918` `prod-exp_binary64_1809` `*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843` `pow-prod-down_binary64_1785`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `distribute-lft-out_binary64_1902` `-commutative_binary64_1926` `associate-r*_binary64_1917` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

2 → 30

Calls

2 calls:

6.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 x (*.f64 x 1080863910568919/9007199254740992)))
11.0ms	(.f64 x (.f64 x 1080863910568919/9007199254740992))

series71.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 x (*.f64 x 1080863910568919/9007199254740992)))
22.0ms	(.f64 x (.f64 x 1080863910568919/9007199254740992))

simplify92.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4958	377
1	4958	377

prune97.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	37	4	41

Merged error: 0b

Counts

41 → 4

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (*.f64 x x) 1080863910568919/9007199254740992))
0.1b	(.f64 (.f64 x x) 1080863910568919/9007199254740992)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `pow1_binary64_1804`
4×	`add-sqr-sqrt_binary64_1843` `add-log-exp_binary64_1823`
3×	`cbrt-unprod_binary64_1827` `add-cube-cbrt_binary64_1829` `prod-exp_binary64_1809` `-un-lft-identity_binary64_1858` `associate-r*_binary64_1917` `pow-prod-down_binary64_1785`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `associate-l_binary64_1918` `*-commutative_binary64_1926` `unswap-sqr_binary64_1886` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (*.f64 x x) 1080863910568919/9007199254740992))
7.0ms	(.f64 (.f64 x x) 1080863910568919/9007199254740992)

series69.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (*.f64 x x) 1080863910568919/9007199254740992))
22.0ms	(.f64 (.f64 x x) 1080863910568919/9007199254740992)

simplify71.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4962	384
1	4962	384

prune102.0ms

Filtered

24 candidates to 36 candidates (-50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	36	4	40

Merged error: 0b

Counts

40 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.2b	(*.f64 (pow.f64 x 3) 1168266793170336129950248828561/81129638414606681695789005144064)
0.5b	(*.f64 x 5193027025280559198049186179841/81129638414606681695789005144064)
6.8b	(/.f64 (-.f64 (.f64 x 5193027025280559198049186179841/81129638414606681695789005144064) (.f64 (pow.f64 x 3) 1168266793170336129950248828561/81129638414606681695789005144064)) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_1843`
18×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
15×	`associate-l_binary64_1918`
13×	`add-exp-log_binary64_1822`
10×	`add-cbrt-cube_binary64_1830`
9×	`times-frac_binary64_1853`
6×	`pow1_binary64_1804` `associate-r_binary64_1917` `add-log-exp_binary64_1823`
5×	`unswap-sqr_binary64_1886`
4×	`prod-exp_binary64_1809` `cube-prod_binary64_1831` `unpow-prod-down_binary64_1793`
3×	`associate-/r_binary64_1921` `flip--_binary64_1884` `associate-/l_binary64_1922` `flip3--_binary64_1857`
2×	`cbrt-unprod_binary64_1827` `*-commutative_binary64_1926` `associate-/r/_binary64_1923` `associate-/l/_binary64_1924` `sqr-pow_binary64_1890`
1×	`div-exp_binary64_1811` `div-sub_binary64_1852` `cbrt-undiv_binary64_1828` `clear-num_binary64_1861` `cube-mult_binary64_1833` `frac-2neg_binary64_1851` `pow-to-exp_binary64_1783` `div-inv_binary64_1859` `diff-log_binary64_1774` `pow-prod-down_binary64_1785` `pow-exp_binary64_1782` `sub-neg_binary64_1862` `unpow3_binary64_1802`

Counts

4 → 92

Calls

4 calls:

3.0ms	(-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
6.0ms	(*.f64 (pow.f64 x 3) 1168266793170336129950248828561/81129638414606681695789005144064)
3.0ms	(*.f64 x 5193027025280559198049186179841/81129638414606681695789005144064)
8.0ms	(/.f64 (-.f64 (.f64 x 5193027025280559198049186179841/81129638414606681695789005144064) (.f64 (pow.f64 x 3) 1168266793170336129950248828561/81129638414606681695789005144064)) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
28.0ms	(*.f64 (pow.f64 x 3) 1168266793170336129950248828561/81129638414606681695789005144064)
13.0ms	(*.f64 x 5193027025280559198049186179841/81129638414606681695789005144064)
90.0ms	(/.f64 (-.f64 (.f64 x 5193027025280559198049186179841/81129638414606681695789005144064) (.f64 (pow.f64 x 3) 1168266793170336129950248828561/81129638414606681695789005144064)) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

simplify85.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5197	1639

prune299.0ms

Filtered

73 candidates to 104 candidates (-42.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Merged error: 0b

Counts

108 → 4

regimes161.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	16
1	73	16

end0.0ms

sample330.0ms

Algorithm

intervals

Results

211.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample16.0ms

simplify158.0ms

prune5.0ms

localize8.0ms

rewrite10.0ms

series57.0ms

simplify104.0ms

prune121.0ms

localize10.0ms

rewrite17.0ms

series71.0ms

simplify92.0ms

prune97.0ms

localize19.0ms

rewrite12.0ms

series69.0ms

simplify71.0ms

prune102.0ms

localize19.0ms

rewrite22.0ms

series152.0ms

simplify85.0ms

prune299.0ms

regimes161.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample330.0ms

Profiling